Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304be |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1172791872 = 26 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297,-1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
2299968/931 |
j-invariant |
L |
4.4699699831623 |
L(r)(E,1)/r! |
Ω |
1.1912864811734 |
Real period |
R |
1.876110429273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bc1 76608dq1 38304e1 |
Quadratic twists by: -4 8 -3 |